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Binary sparse signal recovery with binary matching pursuit*

期刊: INVERSE PROBLEMS, 2021; 37 (6)

In numerous applications from communications and signal processing, we often need to acquire a K-sparse binary signal from sparse noisy linear measure......

Determining a potential of the parabolic equation from partial boundary measurements

期刊: INVERSE PROBLEMS, 2021; 37 (9)

We concern the operator partial derivative(t) - Delta + q with the Dirichlet boundary conditions on a bounded domain in R-n , n >= 3, and show that......

A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems

期刊: INVERSE PROBLEMS, 2021; 37 (7)

In this paper, we propose and analyze a fast Kaczmarz type method for solving multiple nonlinear ill-posed problems in Hilbert spaces. The method is t......

Recovering point sources for the inhomogeneous Helmholtz equation *

期刊: INVERSE PROBLEMS, 2021; 37 (9)

The paper is concerned with an inverse point source problem for the Helmholtz equation. It consists of recovering the locations and amplitudes of a fi......

Analysis of seismic inversion with optimal transportation and softplus encoding

期刊: INVERSE PROBLEMS, 2021; 37 (9)

This paper is devoted to the theoretical and numerical investigation of the local minimum problem in an inverse boundary value problem. We provide a m......

A deterministic-statistical approach to reconstruct moving sources using sparse partial data

期刊: INVERSE PROBLEMS, 2021; 37 (6)

We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first ......

Eigenvalue-free iterative shrinkage-thresholding algorithm for solving the linear inverse problems

期刊: INVERSE PROBLEMS, 2021; 37 (6)

The iterative shrinkage threshold algorithm (ISTA) is widely used in solving linear inverse problems due to its simplicity. However, it depends on the......

A stochastic alternating direction method of multipliers for non-smooth and non-convex optimization

期刊: INVERSE PROBLEMS, 2021; 37 (7)

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other p......

A fast image reconstruction method for planar objects CT inspired by differentiation property of Fourier transform (DPFT)

期刊: INVERSE PROBLEMS, 2021; 37 (7)

In planar objects computed tomography (CT), restricted to the scanning environment, projections can only be collected from limited angles. Moreover, l......

Adaptive multilevel iteration methods for solving ill-posed integral equations via a coupled system

期刊: INVERSE PROBLEMS, 2021; 37 (9)

An adaptive multilevel iteration method via a coupled system is proposed, which leads to fast and effective algorithm for solving ill-posed integral e......

Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation

期刊: INVERSE PROBLEMS, 2021; 37 (5)

In the present paper, we devote our effort to a nonlinear inverse problem for simultaneously recovering the potential function and the fractional orde......

Nonconvex and nonsmooth total variation regularization method for diffuse optical tomography based on RTE *

期刊: INVERSE PROBLEMS, 2021; 37 (6)

Diffuse optical tomography with near-infrared light is a promising technique for noninvasive study of the functional characters of human tissues. Math......

Identifying source term in the subdiffusion equation with L (2)-TV regularization *

期刊: INVERSE PROBLEMS, 2021; 37 (10)

In this paper, we consider the inverse source problem for the time-fractional diffusion equation, which has been known to be an ill-posed problem. To ......

Nonlocal low-rank regularized two-phase approach for mixed noise removal

期刊: INVERSE PROBLEMS, 2021; 37 (8)

Removing mixed noise in images is a difficult problem which has been discussed in many recent papers. In this paper, we tackle the problem of having m......

Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source *

期刊: INVERSE PROBLEMS, 2021; 37 (10)

This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which i......

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